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Volumn 225, Issue 1, 2011, Pages 125-136

New global exponential stability criteria for interval-delayed neural networks

Author keywords

delay partitioning; global exponential stability; interval cellular neural networks; time delay

Indexed keywords

DELAY DEPENDENT CONDITIONS; DELAY PARTITIONING; DELAYED CELLULAR NEURAL NETWORKS; DELAYED NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; GLOBAL ROBUST EXPONENTIAL STABILITIES; GLOBALLY EXPONENTIALLY STABLE; INTERVAL CELLULAR NEURAL NETWORKS; LYAPUNOV; NUMERICAL EXAMPLE; INTERVAL DELAYED NEURAL NETWORKS;

EID: 79951802698     PISSN: 09596518     EISSN: None     Source Type: Journal    
DOI: 10.1243/09596518JSCE1066     Document Type: Conference Paper
Times cited : (29)

References (30)
  • 1
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory and applications
    • Chua, L. and Yang, L. Cellular neural networks: theory and applications. IEEE Trans. Circuits System I, 1988, 35(10), 1257-1272.
    • (1988) IEEE Trans. Circuits System I , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.1    Yang, L.2
  • 2
    • 33751202426 scopus 로고    scopus 로고
    • Global exponential stability of impulsive high-order BAM neural networks with time-varying delays
    • DOI 10.1016/j.neunet.2006.02.006, PII S0893608006000347
    • Ho, D., W. C., Liang, J., and Lam, J. Global exponential stability of impulsive high-order BAM neural networks with time-varying delays. Neural Networks, 2006, 19, 1581-1590. (Pubitemid 44793163)
    • (2006) Neural Networks , vol.19 , Issue.10 , pp. 1581-1590
    • Ho, D.W.C.1    Liang, J.2    Lam, J.3
  • 4
    • 64049112587 scopus 로고    scopus 로고
    • Delaydependent stability criterion for delayed Hopfield neural networks
    • Jiang, Y., Yang, B., Wang, J., and Shao, C. Delaydependent stability criterion for delayed Hopfield neural networks. Chaos, Solitons & Fractals, 2009, 39(5), 2133-2137.
    • (2009) Chaos Solitons & Fractals , vol.39 , Issue.5 , pp. 2133-2137
    • Jiang, Y.1    Yang, B.2    Wang, J.3    Shao, C.4
  • 5
    • 70349466604 scopus 로고    scopus 로고
    • Robust synchronization of delayed neural networks with both linear and nonlinear couplings
    • Liang, J., Wang, Z., and Li, P. Robust synchronization of delayed neural networks with both linear and nonlinear couplings. Int. J. Systems Sci., 2009, 40(9), 973-984.
    • (2009) Int. J. Systems Sci. , vol.40 , Issue.9 , pp. 973-984
    • Liang, J.1    Wang, Z.2    Li, P.3
  • 6
    • 24344504017 scopus 로고    scopus 로고
    • On global asymptotic stability of neural networks with discrete and distributed delays
    • DOI 10.1016/j.physleta.2005.07.025, PII S0375960105011096
    • Liu, X. and Cao, J. Exponential stability of antiperiodic solutions for neural networks with multiple discrete and distributed delays. Proc. IMechE, Part I: J. Systems and Control Engineering, 2009, 223(3), 299-308. DOI: 10.1243/09596518JSCE670. (Pubitemid 41262382)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.345 , Issue.4-6 , pp. 299-308
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 8
    • 13844256695 scopus 로고    scopus 로고
    • State estimation for delayed neural networks
    • DOI 10.1109/TNN.2004.841813
    • Wang, Z., Ho, D., and Liu, X. State estimation for delayed neural networks. IEEE Trans. Neural Networks, 2005, 16(1), 279-284. (Pubitemid 40241927)
    • (2005) IEEE Transactions on Neural Networks , vol.16 , Issue.1 , pp. 279-284
    • Wang, Z.1    Ho, D.W.C.2    Liu, X.3
  • 9
    • 58249092623 scopus 로고    scopus 로고
    • State estimation for jumping recurrent neural networks with discrete and distributed delays
    • Wang, Z., Liu, Y., and Liu, X. State estimation for jumping recurrent neural networks with discrete and distributed delays. Neural Networks, 2000, 22(1), 41-48.
    • (2000) Neural Networks , vol.22 , Issue.1 , pp. 41-48
    • Wang, Z.1    Liu, Y.2    Liu, X.3
  • 10
    • 33745348656 scopus 로고    scopus 로고
    • Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
    • DOI 10.1016/j.physleta.2006.03.078, PII S0375960106005214
    • Wang, Z., Liu, Y., Yu, L., and Liu, X. Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Phys. Lett. A, 2006, 356, 346-352. (Pubitemid 43947472)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.356 , Issue.4-5 , pp. 346-352
    • Wang, Z.1    Liu, Y.2    Yu, L.3    Liu, X.4
  • 11
    • 33644993005 scopus 로고    scopus 로고
    • A new LMI condition for delay dependent asymptotic stability of delayed Hopfield neural networks
    • Xu, S., Lam, J., and Ho, D. W. C. A new LMI condition for delay dependent asymptotic stability of delayed Hopfield neural networks. IEEE Trans. Circuits System II, 2006, 53(3), 230-234.
    • (2006) IEEE Trans. Circuits System II , vol.53 , Issue.3 , pp. 230-234
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3
  • 13
    • 0037174277 scopus 로고    scopus 로고
    • Globally exponential stability conditions for cellular neural networks with time-varying delays
    • DOI 10.1016/S0096-3003(01)00162-X, PII S009630030100162X
    • Zhou, D. and Cao, J. Globally exponential stability conditions for cellular neural networks with timevarying delays. Appl. Math. Comput., 2002, 131(2- 3), 487-496. (Pubitemid 34813501)
    • (2002) Applied Mathematics and Computation , vol.131 , Issue.2-3 , pp. 487-496
    • Zhou, D.1    Cao, J.2
  • 14
    • 1542716871 scopus 로고    scopus 로고
    • On global exponential stability of cellular neural networks with Lipschitz-continuous activation function and variable delays
    • Zhou, D., Zhang, L., and Cao, J. On global exponential stability of cellular neural networks with Lipschitz-continuous activation function and variable delays. Appl. Math. Comput., 2004, 151(2), 379-392.
    • (2004) Appl. Math. Comput. , vol.151 , Issue.2 , pp. 379-392
    • Zhou, D.1    Zhang, L.2    Cao, J.3
  • 15
    • 27644545428 scopus 로고    scopus 로고
    • Worst case control of uncertain jumping systems with multi-state and input delay information
    • DOI 10.1016/j.ins.2004.07.019, PII S0020025504002518
    • Shi, P., Mahmoud, M., Yi, J., and Ismail, A. Worst case control of uncertain jumping systems with multi-state and input delay information. Inf. Sci., 2006, 176(2), 186-200. (Pubitemid 41563068)
    • (2006) Information Sciences , vol.176 , Issue.2 , pp. 186-200
    • Shi, P.1    Mahmoud, M.S.2    Yi, J.3    Ismail, A.4
  • 16
    • 33646870639 scopus 로고    scopus 로고
    • ∞ filtering for LPV systems with both discrete and distributed delays
    • DOI 10.1049/ip-cta:20050296
    • Wu, L., Shi, P., Gao, H., and Wang, C. Delaydependent robust H' and L2-L' filtering for LPV systems with both discrete and distributed delays. IEE Proc. - Control Theory Applic., 2006, 153(4), 483-492. (Pubitemid 43781903)
    • (2006) IEE Proceedings: Control Theory and Applications , vol.153 , Issue.4 , pp. 483-492
    • Wu, L.1    Shi, P.2    Wang, C.3    Gao, H.4
  • 17
    • 56949107715 scopus 로고    scopus 로고
    • Novel stability of cellular neural networks with interval time-varying delay
    • Hu, L., Gao, H., and Zheng, W. Novel stability of cellular neural networks with interval time-varying delay. Neural Networks, 2008, 21, 1458-1463.
    • (2008) Neural Networks , vol.21 , pp. 1458-1463
    • Hu, L.1    Gao, H.2    Zheng, W.3
  • 18
    • 40949160176 scopus 로고    scopus 로고
    • A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay
    • DOI 10.1109/TNN.2007.912593
    • Mou, S., Gao, H., Lam, J., and Qiang, W. A new criterion of delay-dependent asymptotic stability for hopfield neural networks with time delay. IEEE Trans. Neural Networks, 2008, 19(3), 532-535. (Pubitemid 351411577)
    • (2008) IEEE Transactions on Neural Networks , vol.19 , Issue.3 , pp. 532-535
    • Mou, S.1    Gao, H.2    Lam, J.3    Qiang, W.4
  • 19
    • 64049116250 scopus 로고    scopus 로고
    • Novel robust stability criteria for stochastic hopfield neural networks with time delays
    • Yang, R., Gao, H., and Shi, P. Novel robust stability criteria for stochastic hopfield neural networks with time delays. IEEE Trans. Systems, Man and Cybernetics - Part B, 2009, 39(2), 467-474.
    • (2009) IEEE Trans. Systems, Man and Cybernetics - Part B , vol.39 , Issue.2 , pp. 467-474
    • Yang, R.1    Gao, H.2    Shi, P.3
  • 20
    • 3142672983 scopus 로고    scopus 로고
    • Global robust stability of delayed recurrent neural networks
    • Cao, J., Huang, D., and Qu, Y. Global robust stability of delayed recurrent neural networks. Chaos, Solitons and Fractals, 2005, 23(1), 221-223.
    • (2005) Chaos Solitons and Fractals , vol.23 , Issue.1 , pp. 221-223
    • Cao, J.1    Huang, D.2    Qu, Y.3
  • 21
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Cao, J. and Wang, J. Global asymptotic stability of a general class of recurrent neural networks with time-varying delays. IEEE Trans. Circuits System I, 2003, 50(1), 34-44.
    • (2003) IEEE Trans. Circuits System I , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 22
    • 3242878507 scopus 로고    scopus 로고
    • Global robust asymptotical stability of multi-delayed interval neural networks: An LMI approach
    • Li, C., Liao, X., and Zhang, R. Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach. Phys. Lett. A, 2005, 328, 452-462.
    • (2005) Phys. Lett. A , vol.328 , pp. 452-462
    • Li, C.1    Liao, X.2    Zhang, R.3
  • 23
    • 0026910256 scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • DOI 10.1016/0167-6911(92)90097-C
    • Wang, Y., Xie, L., and de-Souza, C. E. Robust control of a class of uncertain nonlinear systems. System Control Lett., 1992, 19(2), 139-149. (Pubitemid 23572546)
    • (1992) Systems and Control Letters , vol.19 , Issue.2 , pp. 139-149
    • Wang, Y.1    Xie, L.2    De Souza, C.E.3
  • 24
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • DOI 10.1109/TCSII.2006.876385
    • He, Y., Wu, M., and She, J. Delay-dependent exponential stability of delayed neural networks with time-varying delay. IEEE Trans. Circuits System II, 2006, 53(7), 553-557. (Pubitemid 44111522)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.7 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.-H.3
  • 25
    • 33845404228 scopus 로고    scopus 로고
    • Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach
    • DOI 10.1016/j.chaos.2005.11.036, PII S0960077905011392
    • Gau, R., Lien, C., and Hsieh, J. Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach. Chaos, Solitons and Fractals, 2007, 32(4), 1258-1267. (Pubitemid 44909750)
    • (2007) Chaos, Solitons and Fractals , vol.32 , Issue.4 , pp. 1258-1267
    • Gau, R.S.1    Lien, C.H.2    Hsieh, J.G.3
  • 26
    • 34247571413 scopus 로고    scopus 로고
    • Further note on global exponential stability of uncertain cellular neural networks with variable delays
    • DOI 10.1016/j.amc.2006.10.036, PII S009630030601424X
    • Park, J. Further note on global exponential stability of uncertain cellular neural networks with variable delays. Appl. Math. Comput., 2007, 188(1), 850-854. (Pubitemid 46686771)
    • (2007) Applied Mathematics and Computation , vol.188 , Issue.1 , pp. 850-854
    • Park, J.H.1
  • 28
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with yime-varying delay
    • DOI 10.1109/TNN.2006.888373
    • He, Y., Liu, G., and Rees, D. New delay-dependent stability criteria for neural networks with timevarying delay. IEEE Trans. Neural Networks, 2007, 18(1), 310-314. (Pubitemid 46062938)
    • (2007) IEEE Transactions on Neural Networks , vol.18 , Issue.1 , pp. 310-314
    • He, Y.1    Liu, G.2    Rees, D.3
  • 29
    • 55649117356 scopus 로고    scopus 로고
    • Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay
    • Shao, H. Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay. IEEE Trans. Circuits System II, 2008, 55(10), 1071-1075.
    • (2008) IEEE Trans. Circuits System II , vol.55 , Issue.10 , pp. 1071-1075
    • Shao, H.1
  • 30
    • 22244437256 scopus 로고    scopus 로고
    • Novel global asymptotic stability criteria for delayed cellular neural networks
    • DOI 10.1109/TCSII.2005.849000
    • Xu, S., Lam, J., Ho, D. W. C., and Zhou, Y. Novel global asymptotic stability criteria for delayed cellular neural network. IEEE Trans. Circuits System II, 2005, 52(3), 349-353. (Pubitemid 40986454)
    • (2005) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.52 , Issue.6 , pp. 349-353
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zou, Y.4


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